Hydrodynamics with triangular point group
Autor: | Friedman, Aaron J., Cook, Caleb Q., Lucas, Andrew |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | SciPost Phys. 14, 137 (2023) |
Druh dokumentu: | Working Paper |
DOI: | 10.21468/SciPostPhys.14.5.137 |
Popis: | When continuous rotational invariance of a two-dimensional fluid is broken to the discrete, dihedral subgroup $D_6$ - the point group of an equilateral triangle - the resulting anisotropic hydrodynamics breaks both spatial-inversion and time-reversal symmetries, while preserving their combination. In this work, we present the hydrodynamics of such $D_6$ fluids, identifying new symmetry-allowed dissipative terms in the hydrodynamic equations of motion. We propose two experiments - both involving high-purity solid-state materials with $D_6$-invariant Fermi surfaces - that are sensitive to these new coefficients in a $D_6$ fluid of electrons. In particular, we propose a local current imaging experiment (which is present-day realizable with nitrogen vacancy center magnetometry) in a hexagonal device, whose $D_6$-exploiting boundary conditions enable the unambiguous detection of these novel transport coefficients. Comment: 25+12 pages, 7+0 figures, 2+0 tables. v2: fixed typos. v3: revised version |
Databáze: | arXiv |
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